1
answer
0
watching
221
views
11 Nov 2019
Consider the system of differential equations dx / dt = -1.6x + 1y, dy / dt = 1.25x - 3.6y. For this system, the smaller eigenvalue is and the larger eigenvalue is [Note -- you'll probably want to view the phase plotter at phase plotter (right click to open in a new window). Select the "integral curves utility" from the main menu. ] If y' = Ay is a differential equation, how would the solution curves behave? The solution curves would race towards zero and then veer away towards infinity. (Saddle) All of the solutions curves would converge towards 0. (Unstable node) All of the solution curves would run away from 0. (Stable node) The solution curves converge to different points. The solution to the above differential equation with initial values x(0) = 2, y(0) = 8 is x(t) = y(t) =
Consider the system of differential equations dx / dt = -1.6x + 1y, dy / dt = 1.25x - 3.6y. For this system, the smaller eigenvalue is and the larger eigenvalue is [Note -- you'll probably want to view the phase plotter at phase plotter (right click to open in a new window). Select the "integral curves utility" from the main menu. ] If y' = Ay is a differential equation, how would the solution curves behave? The solution curves would race towards zero and then veer away towards infinity. (Saddle) All of the solutions curves would converge towards 0. (Unstable node) All of the solution curves would run away from 0. (Stable node) The solution curves converge to different points. The solution to the above differential equation with initial values x(0) = 2, y(0) = 8 is x(t) = y(t) =
Lelia LubowitzLv2
23 Oct 2019